Stephanie Nivoche (University of Nice Sophia Antipolis)

On a problem of Kolmogorov on the epsilon-entropy

Abstract:
I will discuss a problem of Kolmogorov concerned with the epsilon-entropy of classes of analytic functions. In one complex variable, this problem was solved in the 1960s using classical potential theory. In several complex variables it was shown in the 1980s that this problem is equivalent to a certain problem in pluripotential theory, now called Zahariuta's conjecture.